without actual multipilcation find the square whether its odd or even
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Answer:
Answer:
Value \: of \: (32)^{2}=1024Valueof(32)
2
=1024
Step-by-step explanation:
\begin{gathered}Value \: of \: (32)^{2}\\=(30+2)^{2}\\=(30)^{2}+2\times 30\times 2 =2^{2}\end{gathered}
Valueof(32)
2
=(30+2)
2
=(30)
2
+2×30×2=2
2
______________________
We know the algebraic identity:
\boxed {(a+b)^{2}=a^{2}+2ab+b^{2}}
(a+b)
2
=a
2
+2ab+b
2
_____________________
\begin{gathered}=900+120+4\\=1024\end{gathered}
=900+120+4
=1024
Therefore,
Value \: of \: (32)^{2}=1024Valueof(32)
2
=1024
•••♪
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